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Finding the Fourth Proportional to 194.40, 266.53 and 190.93

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Solution

The fourth proportional to 194.40, 266.53 and 190.93 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 266.53 = 190.93 : x
  2. Step 2: Convert to fraction form
    194.40/266.53 = 190.93/x
  3. Step 3: Cross multiply
    194.40x = 266.53 × 190.93
  4. Step 4: Simplify right side
    194.40x = 50,888.57
  5. Step 5: Solve for x
    x = 50,888.57/194.40
  6. Step 6: Final answer
    x = 261.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.